Let's divide 204822 by 13
We want to divide 204822 by 13.

Going ahead to step 1:
13 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 13

Going ahead to step 2:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 13 from 20 to get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 13

On to step 3:
13 goes into 74 5 times with a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 15.0
The remainder is 9 after subtracting 65 from 74.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 13

On to step 4:
13 can be fit into 98 7 times, resulting in a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 157.0
Subtracting 91 from 98 leaves us with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 13

Advancing to step 5:
When dividing 72 by 13, we get 5 with a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 1575.0
If we subtract 65 from 72, we get 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 13

Moving on to step 6:
72 divided by 13 is 5 with a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 15755.0
If we take 65 away from 72, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 15755.5
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 15755.53
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
110 divided by 13 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 15755.538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 15755.5384
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 15755.53846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
When dividing 20 by 13, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 15755.538461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 15755.5384615
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 15755.53846153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 15755.53846153 and a remainder of 1.1e-08.